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6x>-2+4
Add 4 to both sides.
6x>2
Add -2 and 4 to get 2.
x>\frac{2}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x>\frac{1}{3}
Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.